Table 9.

. | . | Eigenvectors . | . | . | . | . | . | . | . | |||||||
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|

Locust . | Mode . | δu/u_{e}
. | Phase angle (degrees) . | δw/u_{e} ≈δα_{b}
. | Phase angle (degrees) . | δq (rad s^{−1})
. | Phase angle (degrees) . | δθ (rad) . | Phase angle (degrees) . | |||||||

`R' | Oscillatory | 0.044 | −90.4 | 1.0 | −2.9 | 62 | −94.5 | 1 | 0 | |||||||

Divergence | −0.26 | 0.64 | 5.0 | 1 | ||||||||||||

Subsidence | 2.8 | −7.0 | −2.5 | 1 | ||||||||||||

`G' | Oscillatory | 0.090 | 91.4 | 1.0 | 3.6 | 101 | 94.1 | 1 | 0 | |||||||

Divergence | −0.52 | 0.46 | 5.7 | 1 | ||||||||||||

Subsidence | 1.3 | −1.1 | −3.5 | 1 | ||||||||||||

`B' | Oscillatory | 0.038 | 89.8 | 1.0 | 3.7 | 56 | 95.4 | 1 | 0 | |||||||

Divergence | −0.19 | 0.62 | 6.0 | 1 | ||||||||||||

Subsidence | −4.9 | 16.6 | −3.9 | 1 |

. | . | Eigenvectors . | . | . | . | . | . | . | . | |||||||
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|

Locust . | Mode . | δu/u_{e}
. | Phase angle (degrees) . | δw/u_{e} ≈δα_{b}
. | Phase angle (degrees) . | δq (rad s^{−1})
. | Phase angle (degrees) . | δθ (rad) . | Phase angle (degrees) . | |||||||

`R' | Oscillatory | 0.044 | −90.4 | 1.0 | −2.9 | 62 | −94.5 | 1 | 0 | |||||||

Divergence | −0.26 | 0.64 | 5.0 | 1 | ||||||||||||

Subsidence | 2.8 | −7.0 | −2.5 | 1 | ||||||||||||

`G' | Oscillatory | 0.090 | 91.4 | 1.0 | 3.6 | 101 | 94.1 | 1 | 0 | |||||||

Divergence | −0.52 | 0.46 | 5.7 | 1 | ||||||||||||

Subsidence | 1.3 | −1.1 | −3.5 | 1 | ||||||||||||

`B' | Oscillatory | 0.038 | 89.8 | 1.0 | 3.7 | 56 | 95.4 | 1 | 0 | |||||||

Divergence | −0.19 | 0.62 | 6.0 | 1 | ||||||||||||

Subsidence | −4.9 | 16.6 | −3.9 | 1 |

Each row of eigenvectors corresponds to one of the roots, or eigenvalues,in Table 7 and gives the relative magnitudes and phases of the state variables that satisfy the corresponding solution to the characteristic equation.

The values of the eigenvectors are arbitrary to within a complex factor,and the eigenvectors are therefore normalised to give the pitch attitude disturbance δθ a magnitude of 1 rad and phase angle of zero.

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